Michael Ruzhansky

Michael Ruzhansky's AcademicInfluence.com Rankings

Michael Ruzhansky

Mathematics

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#9151

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Measure Theory

#1478

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#1849

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Mathematics

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Michael Ruzhansky's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics (2009) (325)
Quantization on Nilpotent Lie Groups (2016) (254)
An Introduction To Pseudo Differential Operators (2014) (168)
Quantization of Pseudo-differential Operators on the Torus (2008) (153)
The Hardy–Littlewood Maximal Operator (2014) (118)
Advances in Real and Complex Analysis with Applications (2017) (110)
Global quantization of pseudo-differential operators on compact Lie groups, SU(2), 3-sphere, and homogeneous spaces (2008) (102)
Global L 2-Boundedness Theorems for a Class of Fourier Integral Operators (2006) (97)
Modulation Spaces and Nonlinear Evolution Equations (2012) (96)
Hörmander Class of Pseudo-Differential Operators on Compact Lie Groups and Global Hypoellipticity (2010) (84)
Nonharmonic Analysis of Boundary Value Problems (2015) (81)
Global L2-boundedness theorems for a class of Fourier integral operators (2003) (79)
On the Fourier analysis of operators on the torus (2006) (77)
Schatten classes on compact manifolds: Kernel conditions☆ (2014) (76)
On horizontal Hardy, Rellich, Caffarelli–Kohn–Nirenberg and p-sub-Laplacian inequalities on stratified groups (2016) (73)
Hardy Inequalities on Homogeneous Groups (2019) (73)
Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups (2017) (69)
Changes of variables in modulation and Wiener amalgam spaces (2008) (67)
Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups (2016) (66)
Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary (2015) (60)
Hyperbolic Second Order Equations with Non-Regular Time Dependent Coefficients (2013) (58)
Lp-Nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups (2013) (56)
A smoothing property of Schrödinger equations in the critical case (2004) (53)
Kernel and symbol criteria for Schatten classes and r-nuclearity on compact manifolds (2014) (53)
Special Functions and Analysis of Differential Equations (2020) (50)
Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field (2016) (50)
$L^{p}$ -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS (2016) (49)
Fourier multipliers, symbols, and nuclearity on compact manifolds (2014) (49)
Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces (2012) (46)
Schatten classes and traces on compact groups (2013) (45)
Nonharmonic analysis of boundary value problems without WZ condition (2016) (43)
Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds (2014) (43)
Wave Equation for Operators with Discrete Spectrum and Irregular Propagation Speed (2017) (42)
Global functional calculus for operators on compact Lie groups (2013) (41)
Pseudo-Differential Operators, Wigner Transform and Weyl Systems on Type I Locally Compact Groups (2015) (39)
On the boundedness of Fourier integral operators on (2010) (38)
Smoothing properties of evolution equations via canonical transforms and comparison principle (2012) (38)
On the Toroidal Quantization of Periodic Pseudo-Differential Operators (2009) (38)
Regularity Properties, Representation of Solutions, and Spectral Asymptotics of Systems with Multiplicities (2004) (37)
On Kac's principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group (2015) (36)
Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations (2018) (36)
Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for ^{}-weighted Hardy inequalities (2017) (35)
Global $L^p$ continuity of Fourier integral operators (2009) (35)
Dispersive and Strichartz Estimates for Hyperbolic Equations With Constant Coefficients (2007) (35)
Wave equation for sums of squares on compact Lie groups (2014) (35)
Isoperimetric inequalities for the logarithmic potential operator (2015) (33)
Isoperimetric inequalities for Schatten norms of Riesz potentials (2015) (33)
Sharp Gårding inequality on compact Lie groups (2010) (32)
Regularity theory of Fourier integral operators with complex phases and singularities of affine fibrations (2001) (32)
A Pseudo-differential Calculus on Graded Nilpotent Lie Groups (2012) (32)
Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact (2021) (32)
$$L^p$$Lp Fourier multipliers on compact Lie groups (2011) (32)
Eigenfunction expansions of ultradifferentiable functions and ultradistributions (2014) (31)
Weighted Sobolev L2 estimates for a class of Fourier integral operators (2007) (31)
Anisotropic L2-weighted hardy and L2-Caffarelli-Kohn-Nirenberg inequalities (2016) (30)
SOBOLEV SPACES ON GRADED GROUPS (2013) (30)
Evolution Equations of Hyperbolic and Schrödinger Type (2012) (30)
On a non–local problem for a multi–term fractional diffusion-wave equation (2018) (30)
Singularities of affine fibrations in the regularity theory of Fourier integral operators (2000) (30)
A pseudo-differential calculus on the Heisenberg group (2014) (29)
Layer potentials, Green's formulae, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups (2015) (29)
Sobolev spaces on graded lie groups (2017) (28)
Weakly hyperbolic equations with non-analytic coefficients and lower order terms (2012) (28)
Local Hardy and Rellich inequalities for sums of squares of vector fields (2016) (27)
$$L^p$$-Bounds for Pseudo-differential Operators on Graded Lie Groups (2019) (27)
The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups (2013) (27)
Global well-posedness of Kirchhoff systems☆ (2012) (26)
Approximation property and nuclearity on mixed‐norm Lp, modulation and Wiener amalgam spaces (2014) (26)
Global well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data in modulation and Sobolev spaces (2016) (26)
On Boundary-Value Problems for a Partial Differential Equation with Caputo and Bessel Operators (2016) (26)
Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations (2006) (26)
On global inversion of homogeneous maps (2013) (26)
$L^p$-$L^q$ multipliers on locally compact groups (2015) (25)
Fourier multipliers on graded Lie groups (2014) (25)
Lp-Caffarelli–Kohn–Nirenberg type inequalities on homogeneous groups (2016) (25)
On the well-posedness of weakly hyperbolic equations with time dependent coefficients (2011) (25)
Titchmarsh theorems for Fourier transforms of Hölder–Lipschitz functions on compact homogeneous manifolds (2017) (25)
L-L multipliers on locally compact groups (2020) (24)
Spectral Shift Function of the Schrödinger Operator in the Large Coupling Constant Limit (2000) (24)
L-L multipliers on locally compact groups (2020) (24)
Multipliers for Besov spaces on graded Lie groups (2017) (23)
Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions (2021) (23)
On a class of anharmonic oscillators (2018) (23)
Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups (2017) (23)
Extended Caffarelli–Kohn–Nirenberg inequalities and superweights for Lp-weighted Hardy inequalities (2017) (22)
Nikolskii inequality and functional classes on compact lie groups (2015) (22)
Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters (2017) (22)
A New Proof of Global SmoothingEstimates for Dispersive Equations (2004) (22)
On multipliers on compact Lie groups (2013) (22)
Very weak solutions to hypoelliptic wave equations (2018) (22)
hardy-littlewood inequalities and fourier multipliers on $SU(2)$ (2014) (21)
On the sharpness of Seeger-Sogge-Stein orders (1999) (21)
Structural Resolvent Estimates and Derivative Nonlinear Schrödinger Equations (2011) (21)
Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups (2018) (21)
Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and L-L Fourier multipliers on compact homogeneous manifolds (2015) (20)
Hypoelliptic functional inequalities (2018) (20)
Difference equations and pseudo-differential operators on Zn (2020) (19)
Difference equations and pseudo-differential operators on Zn (2020) (19)
Difference equations and pseudo-differential operators on Zn (2020) (19)
Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces (2016) (18)
Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits (2016) (18)
Critical Hardy inequalities (2016) (18)
On Schatten norms of convolution-type integral operators (2016) (18)
Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^p$$\end{document} Fourier multipliers on compact Lie groups (2015) (18)
Dispersive estimates for hyperbolic systems with time-dependent coefficients (2010) (18)
On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries (2016) (17)
Caffarelli–Kohn–Nirenberg and Sobolev type inequalities on stratified Lie groups (2017) (17)
Multidimensional decay in van der Corput lemma (2007) (16)
Fractional Klein-Gordon equation with singular mass (2020) (16)
Best constants in Sobolev and Gagliardo–Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations (2017) (16)
Asymptotic integration and dispersion for hyperbolic equations (2007) (16)
Lower bounds for operators on graded Lie groups (2013) (16)
A note on weakly hyperbolic equations with analytic principal part (2013) (15)
Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory. (2018) (15)
Dispersive estimates for T-dependent hyperbolic systems (2008) (15)
On a Very Weak Solution of the Wave Equation for a Hamiltonian in a Singular Electromagnetic Field (2018) (14)
On convolutions in Hilbert spaces (2017) (14)
Abstract Optimal Linear Filtering (2000) (14)
Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous Groups (2016) (14)
Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups (2017) (14)
Non-local initial problem for second order time-fractional and space-singular equation (2017) (14)
Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups (2020) (13)
Wave equation with distributional propagation speed and mass term : numerical simulations (2019) (12)
Fourier multipliers and group von Neumann algebras (2016) (12)
Hardy inequalities on metric measure spaces (2018) (12)
Hardy–Littlewood–Paley-type inequalities on compact Lie groups (2016) (12)
Convolution, Fourier analysis, and distributions generated by Riesz bases (2016) (12)
Time-Dependent Wave Equations on Graded Groups (2017) (12)
Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces (2017) (11)
Uncertainty relations on nilpotent Lie groups (2016) (11)
SPECTRAL SHIFT FUNCTION OF THE SCHRÖDINGER OPERATOR IN THE LARGE COUPLING CONSTANT LIMIT. II. POSITIVE PERTURBATIONS (2002) (11)
A SMOOTHING PROPERTY OF SCHR ¨ ODINGER EQUATIONS AND A GLOBAL EXISTENCE RESULT TO DERIVATIVE NONLINEAR EQUATIONS (2005) (11)
Analytic Fourier integral operators, Monge-Ampère equation and holomorphic factorization (1997) (11)
Hardy–Littlewood–Sobolev and Stein–Weiss inequalities on homogeneous Lie groups (2018) (11)
L p-boundedness of Multilinear Pseudo-differential Operators on Z n and T n (2014) (11)
Factorizations and Hardy–Rellich inequalities on stratified groups (2017) (11)
Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups (2016) (10)
Weighted $L^p$-Hardy and $L^p$-Rellich inequalities with boundary terms on stratified Lie groups (2017) (10)
Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems (2014) (10)
The bounded approximation property of variable Lebesgue spaces and nuclearity (2015) (10)
On local and global regularity of Fourier integral operators (2008) (10)
Fractional Schrödinger Equation with Singular Potentials of Higher Order (2021) (10)
Asymptotic Behaviour of Solutions to Hyperbolic Partial Differential Equations (2012) (10)
Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case (2021) (10)
Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses (2015) (10)
H\"ormander condition for pseudo-multipliers associated to the harmonic oscillator (2018) (9)
Analysis and Partial Differential Equations: Perspectives from Developing Countries (2019) (9)
The heat equation with strongly singular potentials (2021) (9)
Hypergeometric Expansions of Solutions of the Degenerating Model Parabolic Equations of the Third Order (2020) (9)
Pseudo-differential operators on the Heisenberg group (2016) (9)
On Green functions for Dirichlet sub-Laplacians on H-type groups ☆ (2017) (9)
A local-to-global boundedness argument and Fourier integral operators (2017) (9)
Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane (2017) (9)
On Hadamard's global inverse function theorem (2013) (9)
Subelliptic geometric Hardy type inequalities on half-spaces and convex domains (2018) (9)
Smoothing estimates for non-dispersive equations (2015) (9)
Self-Similar Solutions of Some Model Degenerate Partial Differential Equations of the Second, Third, and Fourth Order (2020) (8)
A comparison principle for nonlinear heat Rockland operators on graded groups (2018) (8)
Modern aspects of the theory of partial differential equations (2011) (8)
$L^p$-$L^q$ boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations. (2020) (8)
Harmonic and anharmonic oscillators on the Heisenberg group (2018) (8)
Global time estimates for solutions to equations of dissipative type (2006) (8)
On the Gevrey well-posedness of the Kirchhoff equation (2015) (8)
Time decay for hyperbolic equations with homogeneous symbols (2009) (8)
Bitsadze–Samarskii type problem for the integro-differential diffusion–wave equation on the Heisenberg group (2020) (8)
Explicit representations of solutions for linear fractional differential equations with variable coefficients (2020) (7)
Fourier multipliers for Hardy spaces on graded Lie groups (2021) (7)
DISPERSIVE TYPE ESTIMATES FOR FOURIER INTEGRALS AND APPLICATIONS TO HYPERBOLIC SYSTEMS (2010) (7)
Global boundedness theorems for Fourier integral operators associated with canonical transformations (2006) (7)
Schatten-von Neumann classes of integral operators (2017) (7)
Hardy and Rellich inequalities for anisotropic p-sub-Laplacians (2018) (7)
Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness (2018) (7)
Difference equations and pseudo-differential operators on $\mathbb{Z}^n$ (2017) (6)
Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups (2019) (6)
Weighted $$L^{p}$$Lp-Hardy and $$L^{p}$$Lp-Rellich inequalities with boundary terms on stratified Lie groups (2017) (6)
Hardy-Littlewood inequality and $L^p$-$L^q$ Fourier multipliers on compact hypergroups (2020) (6)
Cauchy Problem for Some 2 × 2 Hyperbolic Systems of Pseudo-differential Equations with Nondiagonalisable Principal Part (2013) (6)
Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I (2017) (6)
Van der Corput lemmas for Mittag-Leffler functions (2020) (6)
On some properties of Galerkin approximations of solutions to Fokker-Planck equations (2006) (6)
Fractional SchrÖdinger Equations with Singular Potentials of Higher Order. II: Hypoelliptic Case (2021) (6)
Asymptotic integration and dispersion for hyperbolic equations, with applications to Kirchhoff equations (2007) (6)
Holomorphic Factorization for the Solution Operators for Hyperbolic Equations (1999) (6)
The optimal filter construction for a general quadratic cost functional (1996) (6)
Trace theorems: critical cases and best constants (2012) (6)
Green’s Identities, Comparison Principle and Uniqueness of Positive Solutions for Nonlinear p-sub-Laplacian Equations on Stratified Lie Groups (2017) (6)
Critical Sobolev, Gagliardo-Nirenberg, Trudinger and Brezis-Gallouet-Wainger inequalities, best constants, and ground states on graded groups (2017) (6)
Global hypoellipticity and global solvability for vector fields on compact Lie groups (2019) (6)
Global smoothing estimates for dispersive equations with non-polynomial symbols. Finite or infinite dimensional complex analysis and applications (2005) (6)
Criteria for Bochner's extension problem (2008) (6)
Hardy, Hardy-Sobolev, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups (2018) (6)
Critical Hardy inequality on homogeneous groups (2016) (6)
Wave equation for 2D Landau Hamiltonian (2016) (5)
Spectral Geometry of Partial Differential Operators (2020) (5)
Partial Fourier series on compact Lie groups (2019) (5)
Pseudo-differential Operators on SU(2) (2010) (5)
Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature (2018) (5)
Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified groups (2021) (5)
Spectral Geometry of Partial Differential Operators (2020) (5)
Pointwise van der Corput lemma for functions of several variables (2009) (5)
Pseudo-differential Operators on ℝ n (2010) (5)
Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation (2022) (5)
Hardy inequalities on metric measure spaces, II: the case p > q (2021) (5)
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups (2020) (5)
Spectral Geometry of Partial Differential Operators (2020) (5)
Direct and inverse problems for time-fractional pseudo-parabolic equations (2020) (5)
Evolution equations of hyperbolic and Schrödinger type : asymptotics, estimates and nonlinearities (2012) (5)
Scattering for strictly hyperbolic systems with time‐dependent coefficients (2013) (5)
On pseudo-differential operators on group SU(2) (2008) (5)
Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative (2022) (5)
Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups (2019) (5)
Non‐harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary (2019) (4)
On the failure of the factorization condition for non-degenerate Fourier integral operators (2001) (4)
On uniform properties of doubling measures (2001) (4)
On uniform properties of doubling measures (2001) (4)
Acoustic and Shallow Water Wave Propagation with Irregular Dissipation (2019) (4)
Methods of fourier analysis and approximation theory (2016) (4)
Fourier multipliers in Hilbert spaces (2017) (4)
On hyperbolic systems with time-dependent Hölder characteristics (2015) (4)
Discrete time-dependent wave equations I. Semiclassical analysis (2021) (4)
Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: Microlocal analysis (2020) (4)
Hardy, Hardy-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups (2018) (4)
Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups (2019) (4)
Weighted anisotropic Hardy and Rellich type inequalities for general vector fields (2018) (4)
The Heat Equation with Singular Potentials. II: Hypoelliptic Case (2021) (4)
Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups (2018) (4)
Pseudo-differential Operators on Compact Lie Groups (2010) (4)
The heat equation with singular potentials (2020) (4)
Limiting cases of Sobolev inequalities on stratified groups (2019) (4)
Smoothing estimates for evolution equations via canonical transforms and comparison (2006) (4)
New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups (2019) (4)
Smoothing and Strichartz estimates for degenerate Schr\"{o}dinger-type equations (2020) (4)
Current Trends in Analysis and Its Applications : Proceedings of the 9th ISAAC Congress, Kraków 2013 (2015) (4)
Determinants and Plemelj-Smithies formulas (2020) (3)
A note on $K$-functional, Modulus of smoothness, Jackson theorem and Nikolskii-Stechkin inequality on Damek-Ricci spaces. (2020) (3)
Analytic methods in interdisciplinary applications (2015) (3)
On a class of anharmonic oscillators II. General case (2021) (3)
Reverse integral Hardy inequality on metric measure spaces (2019) (3)
On nonlinear damped wave equations for positive operators. I. Discrete spectrum (2017) (3)
A note on stability of Hardy inequalities (2017) (3)
Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems (2006) (3)
Examples and counter-examples (2014) (3)
Fractional Schr\"{o}dinger Equations with potentials of higher-order singularities (2020) (3)
Analytic functional calculus and G\r{a}rding inequality on graded Lie groups with applications to diffusion equations (2021) (3)
Using Scanning Electron Microscopy and Atomic Force Microscopy to Study the Formation of Nanoparticles on Red Blood Cell Surface in Cervical Cancer Patients (2020) (3)
Rellich inequalities for sub-Laplacians with drift (2017) (3)
Almost global well-posedness of Kirchhoff equation with Gevrey data (2017) (3)
Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations (2017) (3)
Björk–Sjölin condition for strongly singular convolution operators on graded Lie groups (2022) (3)
Progress in analysis and its applications : proceedings of the 7th International ISAAC Congress (2010) (3)
Anisotropic Shannon inequality (2021) (3)
Global Functional calculus, lower/upper bounds and evolution equations on manifolds with boundary (2021) (3)
Boundedness of oscillating singular integrals on Lie groups of polynomial growth (2022) (3)
On convolutions in Hilbert spaces (2017) (3)
L p-L q Boundedness of (k, a)-Fourier Multipliers with Applications to Nonlinear Equations (2021) (3)
A parallel hybrid implementation of the 2D acoustic wave equation (2020) (2)
Fanctional Analysis in Interdisciplinary Applications (2017) (2)
On C ∞ well-posedness of hyperbolic systems with multiplicities (2017) (2)
Well-posedness of Tricomi–Gellerstedt–Keldysh-type fractional elliptic problems (2021) (2)
Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation (2021) (2)
A note on best constants for Weighted Integral Hardy inequalities on homogeneous groups (2022) (2)
Principal Frequency of $p$-Sub-Laplacians for General Vector Fields (2020) (2)
Measure Theory and Integration (2010) (2)
On $$C^\infty $$C∞ well-posedness of hyperbolic systems with multiplicities (2015) (2)
The Harmonic Oscillator on the Heisenberg Group (2020) (2)
Hausdorff-Young-Paley inequalities and $L^p$-$L^q$ Fourier multipliers on locally compact groups (2015) (2)
Sobolev, Hardy, Gagliardo–Nirenberg, and Caffarelli–Kohn–Nirenberg-type inequalities for some fractional derivatives (2020) (2)
MICROLOCAL TIME DECAYS FOR HYPERBOLIC EQUATIONS WITH LOWER ORDER TERMS 1 (2008) (2)
A necessary and sufficient condition on scattering for the regularly hyperbolic systems (2010) (2)
The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg Group (2022) (2)
Schatten classes and nuclearity of boundary value problems (2015) (2)
Subelliptic Gevrey spaces (2018) (2)
Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality (2022) (2)
Hausdorff–Young inequality for Orlicz spaces on compact homogeneous manifolds (2019) (2)
Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups (2021) (2)
Global Properties of Vector Fields on Compact Lie Groups in Komatsu Classes (2019) (2)
Titchmarsh theorems, Hausdorff-Young-Paley inequality and $L^p$-$L^q$ boundedness of Fourier multipliers on harmonic $NA$ groups (2021) (2)
LP-distributions on symmetric spaces (2003) (2)
An inverse problem for the pseudo-parabolic equation for Laplace operator (2019) (2)
Subelliptic Wave Equations with Log-Lipschitz coefficients (2020) (2)
Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups (2021) (2)
Wave equation for Sturm-Liouville operator with singular potentials (2022) (2)
Estimates and Spectral Asymptotics for Systems with Multiplicities (2005) (2)
Multidimensional van der Corput-Type estimates involving Mittag-Leffler functions (2020) (2)
Pseudo-differential operators with nonlinear quantizing functions (2018) (1)
Chapter 2 Hardy Inequalities on Homogeneous Groups (2019) (1)
Pseudo-differential Operators on Homogeneous Spaces (2010) (1)
Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations (2003) (1)
Two forms of Gradient Approximation for an Optimization Problem for the Heat Equation (2017) (1)
Generalized fractional Dirac type operators (2021) (1)
ON THE SMOOTHING PROPERTIES OF DISPERSIVE PARTIAL DIFFERENTIAL EQUATIONS (Harmonic Analysis and Nonlinear Partial Differential Equations) (2009) (1)
Advanced Topics in Mathematical Analysis (2018) (1)
The inverse source problem for the diffusion and subdiffusion equations for positive operators, and for hypoelliptic diffusions and subdiffusions (2018) (1)
On singularities of affine fibrations of certain types (2000) (1)
Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation (2022) (1)
Sharp estimates for a class of hyperbolic pseudo-differential equations (2002) (1)
Quantization on graded Lie groups (2016) (1)
Oscillating singular integral operators on graded Lie groups revisited (2022) (1)
Some Problems in Fourier Analysis and Approximation Theory (2016) (1)
Preface for the Special Issue on “Special functions and analysis of PDEs” (2017) (1)
Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups (2022) (1)
Spectral identities and smoothing estimates for evolution operators (2018) (1)
Generalised Hardy type and Rellich type inequalities on the Heisenberg group (2022) (1)
Compact Embeddings, Eigenvalue Problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups (2022) (1)
A local-to-global weak (1,1) type argument and applications to Fourier integral operators (2021) (1)
GLOBAL REGULARITY PROPERTIES FOR A CLASS OF FOURIER INTEGRAL OPERATORS (2015) (1)
Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups (2018) (1)
A note on K-functional, Modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces (2021) (1)
Heat- and Wave-Type Equations with Nonlocal Operators, I. Compact Lie Groups (2022) (1)
Smoothing properties of inhomogeneous equations via canonical transforms (2013) (1)
Hardy inequalities on metric measure spaces, III: the case q ≤ p ≤ 0 and applications (2022) (1)
Periodic and Discrete Analysis (2010) (1)
An update on the $$L^p$$-$$L^q$$ norms of spectral multipliers on unimodular Lie groups (2022) (1)
Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states (2017) (1)
A note on the local Weyl formula on compact Lie groups (2022) (1)
L-BOUNDEDNESS THEOREMS FOR A CLASS OF FOURIER INTEGRAL OPERATORS (2006) (1)
Functional inequalities on symmetric spaces of noncompact type and applications (2022) (1)
Drift diffusion equations with fractional diffusion on compact Lie groups (2022) (1)
Local Hardy inequality for sums of squares (2016) (1)
Re-expansions on compact Lie groups (2019) (1)
Intrinsic Image Transfer for Illumination Manipulation (2021) (1)
Mathematical constructions in optimal linear filtering theory (1996) (1)
Chapter 2 Hardy Inequalities on Homogeneous Groups (2019) (1)
Logarithmic Hardy-Rellich inequalities on Lie groups (2021) (1)
Chapter 2 Hardy Inequalities on Homogeneous Groups (2019) (1)
Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4 (2022) (1)
Some properties relating to the Mittag–Leffler function of two variables (2021) (1)
Fourier analysis : pseudo-differential operators, time-frequency analysis and partial differential equations (2014) (1)
Quantization on compact Lie groups (2016) (1)
Fourier Analysis on ℝ n (2010) (0)
Chapter 3. Properties of hyperbolic polynomials (2010) (0)
Green’s Identities, Comparison Principle and Uniqueness of Positive Solutions for Nonlinear p-sub-Laplacian Equations on Stratified Lie Groups (2019) (0)
Anisotropic Fractional Gagliardo-Nirenberg, Weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type Inequalities, and Applications to Riesz Potentials and p-sub-Laplacian Systems (2018) (0)
Initial, inner and inner-boundary problems for a fractional differential equation (2020) (0)
Re-expansions on compact Lie groups (2020) (0)
Chapter 5. Oscillatory integrals without convexity (2010) (0)
Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness (2018) (0)
An open problem in complex analytic geometry arising in harmonic analysis (2007) (0)
On Strichartz estimates for hyperbolic equations with constant coefficients (Differential Equations and Exact WKB Analysis) (2008) (0)
Eigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions. III. Hilbert Spaces and Universality (2018) (0)
Convolution, Fourier analysis, and distributions generated by Riesz bases (2018) (0)
Isoperimetric inequalities for some integral operators arising in potential theory (2017) (0)
Chapter 5 Integral Hardy Inequalities on Homogeneous Groups (2019) (0)
Chapter 5 Integral Hardy Inequalities on Homogeneous Groups (2019) (0)
Acoustic and Shallow Water Wave Propagation with Irregular Dissipation (2019) (0)
$L^p-L^{q}$ estimates for non-local heat and wave type equations on locally compact groups (2023) (0)
Progress in partial differential equations : asymptotic profiles, regularity and well-posedness (2013) (0)
Chapter 5 Integral Hardy Inequalities on Homogeneous Groups (2019) (0)
Progress in Partial Differential Equations (2013) (0)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Estimates for Fourier integral operators with complex-valued phase functions (2001) (0)
A P ] 1 J un 2 02 1 GLOBAL AND BLOW-UP OF SOLUTIONS TO POROUS MEDIUM EQUATION AND PSEUDO-PARABOLIC EQUATION , I . STRATIFIED GROUPS (2021) (0)
Estimates for Pseudo-differential and Hyperbolic Differential Equations via Fourier Integrals with Complex Phases (2001) (0)
Elements of Potential Theory on Carnot Groups (2018) (0)
Correction to: Eigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions. III. Hilbert Spaces and Universality (2021) (0)
Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups (2021) (0)
Some estimates for Mittag-Leffler function in quantum calculus and applications (2023) (0)
Weighted Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{p}$$\end{document}-Hardy and Lp\documentclass[12pt]{mini (2018) (0)
Erratum to “The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups” (2017) (0)
Schr\"odinger equation with singular position dependent mass (2023) (0)
Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups (2020) (0)
The Kirchhoff Equation with Gevrey Data (2017) (0)
Oscillating singular integral operators on compact Lie groups revisited (2022) (0)
Elements of the spectral theory of differential operators (2020) (0)
Geometric maximizers of Schatten norms of some convolution type integral operators (2017) (0)
Boundedness of the dyadic maximal function on graded Lie groups (2023) (0)
Semi-Sparsity for Smoothing Filters (2021) (0)
Degenerate Schr\"odinger equations with irregular potentials (2023) (0)
A projection model of COVID-19 pandemic for Belgium (2020) (0)
Chapter 12 Hardy and Rellich Inequalities for Sums of Squares of Vector Fields (2019) (0)
Chapter 12 Hardy and Rellich Inequalities for Sums of Squares of Vector Fields (2019) (0)
Chapter 12 Hardy and Rellich Inequalities for Sums of Squares of Vector Fields (2019) (0)
Symmetric decreasing rearrangements and applications (2020) (0)
RENDICONTI DEL SEMINARIO MATEMATICO 2012 (2011) (0)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On singularities of affine fibrations of certain types (2000) (0)
A P ] 3 0 D ec 2 00 9 ASYMPTOTIC INTEGRATION AND DISPERSION FOR HYPERBOLIC EQUATIONS (2021) (0)
Revised logarithmic Sobolev inequalities of fractional order (2023) (0)
Commutator Characterisation of Pseudo-differential Operators (2010) (0)
Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary (2021) (0)
Isoperimetric inequalities for Schatten norms of polyharmonic Newton poten- tials (1980) (0)
Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators (2021) (0)
Chapter 4. Oscillatory integrals with convexity (2010) (0)
Global elliptic estimates on symmetric spaces (1997) (0)
On the sharpness of Strichartz estimates and spectrum of compact Lie groups (2023) (0)
On hyperbolic systems with time-dependent Hölder characteristics (2016) (0)
Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous Groups (2018) (0)
A P ] 3 0 D ec 2 01 3 HYPERBOLIC SECOND ORDER EQUATIONS WITH NON-REGULAR TIME DEPENDENT COEFFICIENTS (2021) (0)
Tsunami propagation for singular topographies (2020) (0)
A Direct Method of Moving Planes for Logarithmic Schr\"odinger Operator (2022) (0)
Representation theory of compact groups (2008) (0)
Comparison of estimates for dispersive equations (2008) (0)
Extrapolation in Variable Lebesgue Spaces (2014) (0)
O A ] 2 5 M ay 2 01 6 FOURIER MULTIPLIERS AND GROUP (2016) (0)
Pseudo-differential Operators on $ \mathbb{T}^n $ (2010) (0)
A P ] 2 0 A pr 2 02 1 THE WEAK ( 1 , 1 ) TYPE OF FOURIER INTEGRAL OPERATORS WITH COMPLEX PHASES (2021) (0)
Discrete Heat Equation with irregular thermal conductivity and tempered distributional data (2023) (0)
A P ] 2 5 N ov 2 01 9 REVERSE INTEGRAL HARDY INEQUALITY ON METRIC MEASURE SPACES (2019) (0)
Effective lower order perturbations (2014) (0)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Regularity of the parametrix of a problem with oblique derivative (2001) (0)
On hyperbolic systems with time dependent H\"older coefficients (2015) (0)
Titchmarsh theorems for Fourier transforms of Hölder–Lipschitz functions on compact homogeneous manifolds (2019) (0)
Chapter 6. Decay of solutions to the Cauchy problem (2010) (0)
Nikolskii inequality and functional classes on compact lie groups (2015) (0)
Weakly hyperbolic equations with non-analytic coefficients and lower order terms (2013) (0)
Foundations of the linear operator theory (2020) (0)
On multipliers on compact Lie groups (2013) (0)
Chapter 10 Function Spaces on Homogeneous Groups (2019) (0)
Self-Similar Solutions of Some Model Degenerate Partial Differential Equations of the Second, Third, and Fourth Order (2020) (0)
Chapter 10 Function Spaces on Homogeneous Groups (2019) (0)
Chapter 10 Function Spaces on Homogeneous Groups (2019) (0)
On a Very Weak Solution of the Wave Equation for a Hamiltonian in a Singular Electromagnetic Field (2018) (0)
Dispersion and asymptotic profiles for Kirchhoff equations (2007) (0)
Functional spaces (2020) (0)
Sets, Topology and Metrics (2010) (0)
Chapter 2. Main estimates (2010) (0)
A Light-weight CNN Model for Efficient Parkinson's Disease Diagnostics (2023) (0)
Some results in abstract optimal linear filtering (2000) (0)
Linear Lie Groups (2010) (0)
Analysis II-few selective results (2008) (0)
Oscillatory integrals for Mittag-Leffler functions with two variables (2023) (0)
Hardy and Rellich inequalities with Bessel pairs (2021) (0)
On some questions in complex analysis related to the theory of hyperbolic PDEs (2007) (0)
Basic overview and analysis in the area of distance learning (2014) (0)
Chapter 8. Examples and extensions (2010) (0)
Elementary Functional Analysis (2010) (0)
Homogeneous Lie groups (2016) (0)
The Prabhakar fractional $q$-integral and $q$-differential operators, and their properties (2022) (0)
Hörmander Class of Pseudo-Differential Operators on Compact Lie Groups and Global Hypoellipticity (2014) (0)
On the Gevrey well-posedness of the Kirchhoff equation (2019) (0)
Geometric Hardy inequalities on starshaped sets (2019) (0)
Hypergeometric Expansions of Solutions of the Degenerating Model Parabolic Equations of the Third Order (2020) (0)
Wave Equation for Operators with Discrete Spectrum and Irregular Propagation Speed (2017) (0)
On remainders and stability of anisotropic $L^{p}$-weighted Hardy inequalities (2017) (0)
Structural Resolvent Estimates and Derivative Nonlinear Schrödinger Equations (2012) (0)
Logarithmic Sobolev inequalities on Lie groups (2021) (0)
Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order (2022) (0)
Chapter 4 Fractional Hardy Inequalities (2019) (0)
Time-dependent hyperbolic systems (2014) (0)
Chapter 4 Fractional Hardy Inequalities (2019) (0)
Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential (2022) (0)
Chapter 4 Fractional Hardy Inequalities (2019) (0)
Caffarelli–Kohn–Nirenberg and Sobolev type inequalities on stratified Lie groups (2017) (0)
A P ] 3 O ct 2 02 1 LIOUVILLE THEOREMS FOR KIRCHHOFF-TYPE HYPOELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS AND SYSTEMS (2021) (0)
Chapter 9 Uncertainty Relations on Homogeneous Groups (2019) (0)
Eigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions. III. Hilbert Spaces and Universality (2021) (0)
Chapter 9 Uncertainty Relations on Homogeneous Groups (2019) (0)
Chapter 9 Uncertainty Relations on Homogeneous Groups (2019) (0)
Rockland operators and Sobolev spaces (2016) (0)
Fourier multipliers and group von Neumann algebras ✩ Multiplicateurs de Fourier et algèbres de von Neumann (2016) (0)
Erratum to “The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups” (2017) (0)
Introduction (2019) (0)
$L^p$-$L^q$ Multipliers on commutative hypergroups (2021) (0)
Chapter 7. Frequencies around multiplicities (2010) (0)
On Strichartz estimates for hyperbolic equations with constant coecien ts (2008) (0)
Preliminaries on lie groups (2016) (0)
Preface (2021) (0)
On numerical simulations of the 1d wave equation with a distributional coefficient and source term (2017) (0)
Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity (2023) (0)
Schatten-von Neumann properties for H\"ormander classes on compact Lie groups (2023) (0)
Chapter 8 Geometric Hardy Inequalities on Stratified Groups (2019) (0)
Chapter 8 Geometric Hardy Inequalities on Stratified Groups (2019) (0)
Smoothing estimates for non-dispersive equations (2015) (0)
Chapter 8 Geometric Hardy Inequalities on Stratified Groups (2019) (0)
Fourier multipliers, symbols, and nuclearity on compact manifolds (2018) (0)
Smoothing properties of dispersive equations on non-compact symmetric spaces (2023) (0)
Geometric Hardy inequalities on weakly starshaped sets for general vector fields (2019) (0)
On C∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^\infty $$\end{document} well-posedness of hyperbolic systems wi (2017) (0)
Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups (2018) (0)
Cauchy type problems for fractional differential equations (2021) (0)
Weighted anisotropic Hardy and Rellich type inequalities for general vector fields (2019) (0)
Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg Group (2023) (0)
Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits (2018) (0)
Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group (2022) (0)
Recent Progress in Smoothing Estimates for Evolution Equations (2014) (0)
Time-Dependent Wave Equations on Graded Groups (2021) (0)
Sparse bounds for oscillating multipliers on stratified groups (2023) (0)
Fourier Analysis on SU(2) (2010) (0)
DECAY AND REGULARITY FOR DISPERSIVE EQUATIONS WITH NON-POLYNOMIAL SYMBOLS (Microlocal Analysis and Asymptotic Analysis) (2004) (0)
Partial differential equations/Harmonic analysis A pseudo-differential calculus on the Heisenberg group Un calcul pseudo-différentiel sur le groupe de Heisenberg (2014) (0)
Chapter 11 Elements of Potential Theory on Stratified Groups (2019) (0)
Chapter 3 Rellich, Caffarelli–Kohn–Nirenberg, and Sobolev Type Inequalities (2019) (0)
Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field (2016) (0)
Chapter 11 Elements of Potential Theory on Stratified Groups (2019) (0)
Estimates for Fourier integral operators with complex-valued phase functions (2001) (0)
Some interesting model cases (2014) (0)
Chapter 3 Rellich, Caffarelli–Kohn–Nirenberg, and Sobolev Type Inequalities (2019) (0)
Chapter 3 Rellich, Caffarelli–Kohn–Nirenberg, and Sobolev Type Inequalities (2019) (0)
Chapter 11 Elements of Potential Theory on Stratified Groups (2019) (0)
N ov 2 01 7 A LOCAL-TO-GLOBAL BOUNDEDNESS ARGUMENT AND FOURIER INTEGRAL OPERATORS (2018) (0)
Approximations in $$L^1$$ with convergent Fourier series (2018) (0)
Preface to the Special Issue on “Mathematical modelling in applied sciences” (2016) (0)
Global solvability of the Kirchhoff equation with Gevrey data (2015) (0)
Chapter 1 Analysis on Homogeneous Groups (2019) (0)
Chapter 1 Analysis on Homogeneous Groups (2019) (0)
Lower bounds for operators on nilpotent Lie groups (2013) (0)
Norms of certain functions of a distinguished Laplacian on the $$ax+b$$ groups (2021) (0)
Loughborough University Institutional Repository On the well-posedness of weakly hyperbolic equations with time-dependent coefficients (2019) (0)
On spectral and boundary properties of the volume potential for the Helmholtz equation (2019) (0)
On spectral and boundary properties of the volume potential for the Helmholtz equation (2019) (0)
Hyperbolic Second Order Equations with Non-Regular Time Dependent Coefficients (2014) (0)
Symmetry of positive solutions for Lane-Emden systems involving the Logarithmic Laplacian (2022) (0)
Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups (2023) (0)
Mathematical Analysis/Harmonic Analysis On the boundedness of Fourier integral operators on L p (R n ) Sur la continuité des opérateurs intégraux de Fourier sur L p (R n ) (2010) (0)
Hardy–Littlewood–Paley-type inequalities on compact Lie groups (2016) (0)
Chapter 1 Analysis on Homogeneous Groups (2019) (0)
Fractional Cauchy problems associated with the bi-ordinal Hilfer fractional $q$-derivative (2022) (0)
Chapter 7 Hardy–Rellich Inequalities and Fundamental Solutions (2019) (0)
Chapter 7 Hardy–Rellich Inequalities and Fundamental Solutions (2019) (0)
Direct and inverse source problems for heat equation in quantum calculus (2022) (0)
Subelliptic sharp G\r{a}rding inequality on compact Lie groups (2021) (0)
Chapter 7 Hardy–Rellich Inequalities and Fundamental Solutions (2019) (0)
Rayleigh–Faber–Krahn, Lyapunov and Hartmann–Wintner Inequalities for Fractional Elliptic Problems (2020) (0)
Global pseudo-differential operators on the Lie group $G= (-1,1)^n$ (2022) (0)
Properties of Variable Lebesgue Spaces (2014) (0)
Chapter 6 Horizontal Inequalities on Stratified Groups (2019) (0)
Chapter 6 Horizontal Inequalities on Stratified Groups (2019) (0)
Elements of Potential Theory on Carnot Groups (2018) (0)
A P ] 8 J un 2 00 7 SMOOTHING PROPERTIES OF EVOLUTION EQUATIONS VIA CANONICAL TRANSFORMS AND COMPARISON (2007) (0)
The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups (2016) (0)
Heat equation with singular thermal conductivity (2023) (0)
Equations with constant coefficients (2014) (0)
Inequalities of spectral geometry (2020) (0)
M ar 2 01 8 PSEUDO-DIFFERENTIAL OPERATORS WITH NONLINEAR QUANTIZING FUNCTIONS (2018) (0)
Chapter 6 Horizontal Inequalities on Stratified Groups (2019) (0)
Convolution generated by Riesz bases (2016) (0)
On Lp estimates for the Laplacian on a class of symmetric spaces noncompact type (1995) (0)

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